A prism and pyramid both have this triangular base if both shapes have the same height and volume of the prism is 540ft (to the third power), what is the volume of the pyramid?
Height 6
Base 18
To find the volume of the pyramid, we first need to find the area of the triangular base, which is a right triangle with base 18 ft and height 6 ft.
The area of a triangle is given by 1/2 * base * height, so the area of the triangular base is 1/2 * 18 * 6 = 54 ft^2.
Since the prism and pyramid have the same base and height, the volume of the pyramid will be 1/3 times the volume of the prism.
Therefore, the volume of the pyramid is 1/3 * 540 ft^3 = 180 ft^3.